A stall was selling flowers. ¹₄ of the earnings are from the sale of 6 marigolds and 17 orchids. Of the rest of the earnings, ³₄ are from the sale of marigolds and ¹₄ are from the sale of orchids. Each orchid costs twice as much as each marigold. How many flowers were sold?

6 marigolds and 17 orchids	Rest of the earnings		Total earnings
1x4	3x4
	Roses	Carnations
	3x3	1x3
4	9	3	16

Fraction of the earnings left after the sale of 6 marigolds and 17 orchids
= 1 - ¹₄
= ³₄ 

The rest of the earnings is repeated. LCM of 3 and 4 is 12.

Cost of 1 marigold = 1 u
Cost of 1 orchid = 2 u

Cost of 6 marigolds = 6 x 1 u = 6 u
Cost of 17 orchids = 17 x 2 u = 34 u

Total cost of 6 marigolds and 17 orchids
= 6 u + 34 u
= 40 u

⁴₁₆ of the earnings → 40 u 
¹₁₆ of the earnings → 40 u ÷ 4 = 10 u 

⁹₁₆ of the earnings → 9 x 10 u = 90 u 

Number of marigolds sold that contributed to the rest of the earnings
= 90 u ÷ 1 u
= 90

³₁₆ of the earnings → 3 x 10 u = 30 u

Number of orchids sold that contributed to the rest of the earnings
= 30 u ÷ 2 u
= 15

Number of flowers sold
= 6 + 17 + 90 + 15
= 128

Answer(s): 128